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Finding the Fourth Proportional to 536,142.08, 740,128 and 309,743.84

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Solution

The fourth proportional to 536,142.08, 740,128 and 309,743.84 is: 427,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,142.08 : 740,128 = 309,743.84 : x
  2. Step 2: Convert to fraction form
    536,142.08/740,128 = 309,743.84/x
  3. Step 3: Cross multiply
    536,142.08x = 740,128 × 309,743.84
  4. Step 4: Simplify right side
    536,142.08x = 229,250,088,811.52
  5. Step 5: Solve for x
    x = 229,250,088,811.52/536,142.08
  6. Step 6: Final answer
    x = 427,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.